Mathematics

Analysis Probability math problem

An analysis of personal loans at a local bank revealed the following facts: 10% of all personal loans are in default (D), 90% of all personal loans are not in default (D´), 20% of those in default are

Tan(4x)/(sin(6x)) as lim -> 0

what are the steps to solving this WITHOUT using Lhopitals rule?-You can use the limits tanx/x = 1 and sinx/x = 1 lim (x-->0) tan(4x)/sin(6x) = lim (x-->0) (6x/6x)(4x/4x)(tan(4x)/sin(6x)) = lim (x-

Tan(4x)/(sin(6x)) as lim -> 0

what are the steps to solving this WITHOUT using Lhopitals rule?-You can use the limits tanx/x = 1 and sinx/x = 1 lim (x-->0) tan(4x)/sin(6x) = lim (x-->0) (6x/6x)(4x/4x)(tan(4x)/sin(6x)) = lim (x-

Suppose you roll a pair of dice. Find the following probabilities:

P(the sum is multiple of 4 or greater than 9) The answer is 7/18, but I dont understand how you get it. Please explain step by step. THANK YOU!-hi deer, (sorry, cow !) just list in a table: favorable

Help please! 10 points to best answer.

Im soo brain dead right now and reallly need help figuring out how to solve these problems. Im not looking for answers, just the steps so I can understand what to do! ANy help at all would be so appre

Need help figuring out this algebra

Can anyone tell me how you get from step A to B? A)(5/3)^k+(5/3)^k-1 B)((5/3)^k-1) x ((5/3)+1) I just dont understand what steps to take to get from A to B.It goes from addition to multiplication, th

Find the requested Taylor polynomials by using known Taylor or Maclaurin polynomials and changing variables

p3(x) for e^(3x) about x=-1-e^x about x = 0: e^x = 1 + x + x²/2! + x³/3! + .... e^(3x) about x = 0 e^(3x) = 1 + 3x + (3x)²/2! + (3x)³/3! + .... e^(3x) about x = -1 => e^(3(x+1)) about x = 0 e^(3(x+1

If a function f is differentiable, then is a function f^2 differentiable

I would think this is true, but I am not positive.Does anyone have a counter example showing i is false?-of course its true -- use the chain rule d(f^2) = 2 f df since f is differentiable, df exists

PLEASE HELP ME WITH ALGEBRA 2!!

Any help you can offer, I will greatly appreciate. Thank you! 4. Give an example that shows that not all linear equations can be rewritten in the slope-intercept form of y=mx+b 6. Find an equation f

Help to verify the identity!

sin^4x+cos^4x=1-2 cos^2x+2 cos^4x Thank you!-... LHS = sin⁴ x + cos⁴ x = (sin² x)² + (cos² x)² ... Use : a²+b² = (a+b)² - 2ab = (sin² x + cos² x)² - 2sin² x cos² x = (1)² - 2(1 - cos² x)·cos² x

Precalculus question

A manufacturer of lighting fixtures has daily production costs of C = 800 − 30x + 0.25x^2, where C is the total cost (in dollars) and x is the number of units produced. How many fixtures should be pro

Math fraction equation..

-x/5+2=x/5+7--2x/5 = 5 --->x = -25/2

Best answer 10 points algebra help please

Simplify: 4(3x-1)-3(2x+3) Answer question please: Use the formula s=6r2 (2 is exponent) + 6h to find s if r= 2 and h=4-In order to simplify4(3x-1)-3(2x+3) you would use FOIL (First Outer Inner Last).

Does the fourth root of 1 equal i

Since i to the fourth power equals 1, isnt the fourth root of 1 i? Thanks for your help!-i^1 = sqrt(-1) i^2 = -1 i^3 = -i or -sqrt(-1) i^4 = 1 you have a nice idea, but unfortunately that is not the

Solve for x in 2-x^2=x

Collect all terms in one side, x^2 + x - 2 = (x+2)(x-1) = 0 x = -2, 1-2 - x^2 = x -x^2 - x + 2 = 0 (Multiply by -1) x^2 + x - 2 = 0 (Factor this or use quadratic formula.) (x+2)(x-1)=0 x = -2 or x =